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Finding the Fourth Proportional to 5,406.06, 8,108.16 and 1,509.54

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Solution

The fourth proportional to 5,406.06, 8,108.16 and 1,509.54 is: 2,264.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,406.06 : 8,108.16 = 1,509.54 : x
  2. Step 2: Convert to fraction form
    5,406.06/8,108.16 = 1,509.54/x
  3. Step 3: Cross multiply
    5,406.06x = 8,108.16 × 1,509.54
  4. Step 4: Simplify right side
    5,406.06x = 12,239,591.85
  5. Step 5: Solve for x
    x = 12,239,591.85/5,406.06
  6. Step 6: Final answer
    x = 2,264.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.